Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 1 - 5 από τα 91.
Σελίδα 5
... Straight line is a line which has the same direction throughout its whole extent . 9. DEF . A Curved line is a line which changes its direction at every point . 10. DEF . A Broken line is a series of con- nected straight lines . When the ...
... Straight line is a line which has the same direction throughout its whole extent . 9. DEF . A Curved line is a line which changes its direction at every point . 10. DEF . A Broken line is a series of con- nected straight lines . When the ...
Σελίδα 6
... straight lines are called rectilinear figures ; those formed by curved lines are called curvilinear fig- ures ; and those formed by straight and curved lines are called ... line is drawn is called 6 GEOMETRY . -BOOK I. STRAIGHT LINES.
... straight lines are called rectilinear figures ; those formed by curved lines are called curvilinear fig- ures ; and those formed by straight and curved lines are called ... line is drawn is called 6 GEOMETRY . -BOOK I. STRAIGHT LINES.
Σελίδα 7
... line , as CB , 4B , be produced through C , the portions CB and CA may be regarded as different lines having opposite directions from the point C. Α Hence , every straight line ... straight lines which lie in the same plane DEFINITIONS . 7.
... line , as CB , 4B , be produced through C , the portions CB and CA may be regarded as different lines having opposite directions from the point C. Α Hence , every straight line ... straight lines which lie in the same plane DEFINITIONS . 7.
Σελίδα 9
... straight lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line A B meet the straight line C D so that the adjacent angles ABC and ABD ...
... straight lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line A B meet the straight line C D so that the adjacent angles ABC and ABD ...
Σελίδα 10
... straight line OC to move in this plane from coincidence with O A , about the point 0 as a pivot , to the po- sition O C ; then the line OC describes or generates the angle A O C. A C A ' B D B C A B B ' D A The amount of rotation of the ...
... straight line OC to move in this plane from coincidence with O A , about the point 0 as a pivot , to the po- sition O C ; then the line OC describes or generates the angle A O C. A C A ' B D B C A B B ' D A The amount of rotation of the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal arcs equal respectively equally distant equiangular polygon equilateral equivalent frustum given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B line A B measured by arc middle point mutually equiangular number of sides parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square straight line drawn subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 38 - Any side of a triangle is less than the sum of the other two sides.
Σελίδα 349 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 83 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.
Σελίδα 207 - To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line.
Σελίδα 188 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 146 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 134 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. Let a: b = c: d — e :/= g: h.